Zadanie 9d
Find the cone’s volume in the form , where p is a positive rational number.
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Find the cone’s volume in the form , where p is a positive rational number.
Show that f−1(x) = f(x).
(i) Find k. (ii) Hence give the coordinates of P.
In terms of c, d, write the equations of (i) the vertical asymptote and (ii) the horizontal asymptote of g.
Given g−1 = g, find d.
Impose g−1 = g to determine d. Take c = 2 and the value of d from (d). Sketch y = 1/g(x), showing intercepts, any excluded points, and all asymptotes with their equations.
Find f−1(9) as a fraction of integers.
(i) Find g−1(x). (ii) Describe a sequence of transformations taking the graph of g−1 to the graph of f.
Show that (f∘g)(x) = 729x3.
A separate function is h(x) = 9x2/(3x + 2), x ≠ −2/3. Region R is bounded by its curve, the line y = 1, and x = 1, x = 2. (i) Establish . (ii) Hence or otherwise, calculate the area of R in the form p + qln r, with positive…